Category archives: Mathematics

New linear optics of particle accelerators using Moebius transformation

New linear optics of particle accelerators using Moebius transformation

MathematicsParticle physicsPhysics

By Invited Researcher

The propagation of light -observed and governed since ancient times by simple lens construction- has long been described through classical geometrical optics. However, in particle accelerators we do not transport photons but beams of electrically charged particles subjected to repulsive forces that tend to unpack the particle beams. Optics of particle accelerators require electromagnetic lenses […]

Landau singularities revisited

Landau singularities revisited

MathematicsParticle physicsPhysics

By César Tomé

Scientists have used computational algebraic geometry to study predictions for particle physics experiments, such as those at the Large Hadron Collider (LHC). These experiments, in combination with new mathematical tools, help to solve unanswered questions in physics in a much faster way and have a profound impact on our understanding of nature. When studying particle […]

A new approach to covariate shift adaptation

A new approach to covariate shift adaptation

Computer scienceMathematicsRobotics

By BCAM

In probability theory and statistics, a collection of random variables is independent and identically distributed (iid) if each random variable has the same probability distribution as the others and all are mutually independent. Most supervised machine learning methods assume that training and testing or production samples are drawn iid from the same underlying distribution. But […]

Synchrony with chaos

Synchrony with chaos

BiologyMathematics

By Invited Researcher

Imagine an old-growth forest in the fading light of a summer evening. As the last of the sun’s rays disappear beneath the horizon, a tiny flash catches your eye. You turn around, hold your breath; it blinks again, hovering 2 feet above the leaf litter. Across the dusky glade, a fleeting response. Then another one […]

Fine-tuning wine fermentation processes

Fine-tuning wine fermentation processes

Chemical engineeringFood processingMathematics

By BCAM

Fermentation is a form of anaerobic respiration occurring in certain microorganisms, like yeasts. Many processes arising in diverse contexts can be classified as fermentation processes, such as manufacturing of some food products (baking, wine and beer industries are based on them) and of some industrial and pharmaceutical chemicals. Alcoholic fermentation comprises a series of biochemical […]

Modelling the new neuron-glial paradigm

Modelling the new neuron-glial paradigm

MathematicsNeuroscience

By BCAM

Modelling of neuron-glial interactions is an emerging field of Computational Neuroscience. The ubiquity of these interactions and the possibility that they may occur within the time and spatial scales that are usually ascribed to neuronal and synaptic function, calls for a revision of current neuron-based modeling paradigms to include potentially relevant effects mediated by glial […]

HOMA: a space orbit simulator

HOMA: a space orbit simulator

MathematicsPhysics

By BCAM

Quick simulations of space orbits and trajectories are essential in different aspects of space engineering, from the optimization of trajectories and orbit transfers, to the determination of the orbits themselves, altitude control, and gravitational modelling. Although the preliminary analysis of satellite space orbits can be done without extensive simulations, to represent the dynamical states of […]